What is the Greatest Common Factor of 62908 and 62920?

Greatest common factor (GCF) of 62908 and 62920 is 4.

GCF(62908,62920) = 4

We will now calculate the prime factors of 62908 and 62920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62908 and 62920.

How to find the GCF of 62908 and 62920?

We will first find the prime factorization of 62908 and 62920. After we will calculate the factors of 62908 and 62920 and find the biggest common factor number .

Step-1: Prime Factorization of 62908

Prime factors of 62908 are 2, 15727. Prime factorization of 62908 in exponential form is:

62908 = 2² × 15727¹

Step-2: Prime Factorization of 62920

Prime factors of 62920 are 2, 5, 11, 13. Prime factorization of 62920 in exponential form is:

62920 = 2³ × 5¹ × 11² × 13¹

Step-3: Factors of 62908

List of positive integer factors of 62908 that divides 62908 without a remainder.

1, 2, 4, 15727, 31454

Step-4: Factors of 62920

List of positive integer factors of 62920 that divides 62908 without a remainder.

1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 26, 40, 44, 52, 55, 65, 88, 104, 110, 121, 130, 143, 220, 242, 260, 286, 440, 484, 520, 572, 605, 715, 968, 1144, 1210, 1430, 1573, 2420, 2860, 3146, 4840, 5720, 6292, 7865, 12584, 15730, 31460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62908 and 62920. The biggest common factor number is the GCF number.
So the greatest common factor 62908 and 62920 is 4.

Also check out the Least Common Multiple of 62908 and 62920