What is the Greatest Common Factor of 62900 and 62920?

Greatest common factor (GCF) of 62900 and 62920 is 20.

GCF(62900,62920) = 20

We will now calculate the prime factors of 62900 and 62920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62900 and 62920.

How to find the GCF of 62900 and 62920?

We will first find the prime factorization of 62900 and 62920. After we will calculate the factors of 62900 and 62920 and find the biggest common factor number .

Step-1: Prime Factorization of 62900

Prime factors of 62900 are 2, 5, 17, 37. Prime factorization of 62900 in exponential form is:

62900 = 2² × 5² × 17¹ × 37¹

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 62900

List of positive integer factors of 62900 that divides 62900 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 37, 50, 68, 74, 85, 100, 148, 170, 185, 340, 370, 425, 629, 740, 850, 925, 1258, 1700, 1850, 2516, 3145, 3700, 6290, 12580, 15725, 31450

Step-4: Factors of 62920

List of positive integer factors of 62920 that divides 62900 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 62900 and 62920. The biggest common factor number is the GCF number.
So the greatest common factor 62900 and 62920 is 20.

Also check out the Least Common Multiple of 62900 and 62920