What is the Greatest Common Factor of 62690 and 62700?

Greatest common factor (GCF) of 62690 and 62700 is 10.

GCF(62690,62700) = 10

We will now calculate the prime factors of 62690 and 62700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62690 and 62700.

How to find the GCF of 62690 and 62700?

We will first find the prime factorization of 62690 and 62700. After we will calculate the factors of 62690 and 62700 and find the biggest common factor number .

Step-1: Prime Factorization of 62690

Prime factors of 62690 are 2, 5, 6269. Prime factorization of 62690 in exponential form is:

62690 = 2¹ × 5¹ × 6269¹

Step-2: Prime Factorization of 62700

Prime factors of 62700 are 2, 3, 5, 11, 19. Prime factorization of 62700 in exponential form is:

62700 = 2² × 3¹ × 5² × 11¹ × 19¹

Step-3: Factors of 62690

List of positive integer factors of 62690 that divides 62690 without a remainder.

1, 2, 5, 10, 6269, 12538, 31345

Step-4: Factors of 62700

List of positive integer factors of 62700 that divides 62690 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 19, 20, 22, 25, 30, 33, 38, 44, 50, 55, 57, 60, 66, 75, 76, 95, 100, 110, 114, 132, 150, 165, 190, 209, 220, 228, 275, 285, 300, 330, 380, 418, 475, 550, 570, 627, 660, 825, 836, 950, 1045, 1100, 1140, 1254, 1425, 1650, 1900, 2090, 2508, 2850, 3135, 3300, 4180, 5225, 5700, 6270, 10450, 12540, 15675, 20900, 31350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62690 and 62700. The biggest common factor number is the GCF number.
So the greatest common factor 62690 and 62700 is 10.

Also check out the Least Common Multiple of 62690 and 62700