What is the Greatest Common Factor of 69420 and 69440?

Greatest common factor (GCF) of 69420 and 69440 is 20.

GCF(69420,69440) = 20

We will now calculate the prime factors of 69420 and 69440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69420 and 69440.

How to find the GCF of 69420 and 69440?

We will first find the prime factorization of 69420 and 69440. After we will calculate the factors of 69420 and 69440 and find the biggest common factor number .

Step-1: Prime Factorization of 69420

Prime factors of 69420 are 2, 3, 5, 13, 89. Prime factorization of 69420 in exponential form is:

69420 = 2² × 3¹ × 5¹ × 13¹ × 89¹

Step-2: Prime Factorization of 69440

Prime factors of 69440 are 2, 5, 7, 31. Prime factorization of 69440 in exponential form is:

69440 = 2⁶ × 5¹ × 7¹ × 31¹

Step-3: Factors of 69420

List of positive integer factors of 69420 that divides 69420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 89, 130, 156, 178, 195, 260, 267, 356, 390, 445, 534, 780, 890, 1068, 1157, 1335, 1780, 2314, 2670, 3471, 4628, 5340, 5785, 6942, 11570, 13884, 17355, 23140, 34710

Step-4: Factors of 69440

List of positive integer factors of 69440 that divides 69420 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 31, 32, 35, 40, 56, 62, 64, 70, 80, 112, 124, 140, 155, 160, 217, 224, 248, 280, 310, 320, 434, 448, 496, 560, 620, 868, 992, 1085, 1120, 1240, 1736, 1984, 2170, 2240, 2480, 3472, 4340, 4960, 6944, 8680, 9920, 13888, 17360, 34720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69420 and 69440. The biggest common factor number is the GCF number.
So the greatest common factor 69420 and 69440 is 20.

Also check out the Least Common Multiple of 69420 and 69440