What is the Greatest Common Factor of 71400 and 71412?

Greatest common factor (GCF) of 71400 and 71412 is 12.

GCF(71400,71412) = 12

We will now calculate the prime factors of 71400 and 71412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71400 and 71412.

How to find the GCF of 71400 and 71412?

We will first find the prime factorization of 71400 and 71412. After we will calculate the factors of 71400 and 71412 and find the biggest common factor number .

Step-1: Prime Factorization of 71400

Prime factors of 71400 are 2, 3, 5, 7, 17. Prime factorization of 71400 in exponential form is:

71400 = 2³ × 3¹ × 5² × 7¹ × 17¹

Step-2: Prime Factorization of 71412

Prime factors of 71412 are 2, 3, 11, 541. Prime factorization of 71412 in exponential form is:

71412 = 2² × 3¹ × 11¹ × 541¹

Step-3: Factors of 71400

List of positive integer factors of 71400 that divides 71400 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 17, 20, 21, 24, 25, 28, 30, 34, 35, 40, 42, 50, 51, 56, 60, 68, 70, 75, 84, 85, 100, 102, 105, 119, 120, 136, 140, 150, 168, 170, 175, 200, 204, 210, 238, 255, 280, 300, 340, 350, 357, 408, 420, 425, 476, 510, 525, 595, 600, 680, 700, 714, 840, 850, 952, 1020, 1050, 1190, 1275, 1400, 1428, 1700, 1785, 2040, 2100, 2380, 2550, 2856, 2975, 3400, 3570, 4200, 4760, 5100, 5950, 7140, 8925, 10200, 11900, 14280, 17850, 23800, 35700

Step-4: Factors of 71412

List of positive integer factors of 71412 that divides 71400 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 541, 1082, 1623, 2164, 3246, 5951, 6492, 11902, 17853, 23804, 35706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71400 and 71412. The biggest common factor number is the GCF number.
So the greatest common factor 71400 and 71412 is 12.

Also check out the Least Common Multiple of 71400 and 71412