What is the Greatest Common Factor of 62120 and 62130?

Greatest common factor (GCF) of 62120 and 62130 is 10.

GCF(62120,62130) = 10

We will now calculate the prime factors of 62120 and 62130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62120 and 62130.

How to find the GCF of 62120 and 62130?

We will first find the prime factorization of 62120 and 62130. After we will calculate the factors of 62120 and 62130 and find the biggest common factor number .

Step-1: Prime Factorization of 62120

Prime factors of 62120 are 2, 5, 1553. Prime factorization of 62120 in exponential form is:

62120 = 2³ × 5¹ × 1553¹

Step-2: Prime Factorization of 62130

Prime factors of 62130 are 2, 3, 5, 19, 109. Prime factorization of 62130 in exponential form is:

62130 = 2¹ × 3¹ × 5¹ × 19¹ × 109¹

Step-3: Factors of 62120

List of positive integer factors of 62120 that divides 62120 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1553, 3106, 6212, 7765, 12424, 15530, 31060

Step-4: Factors of 62130

List of positive integer factors of 62130 that divides 62120 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 109, 114, 190, 218, 285, 327, 545, 570, 654, 1090, 1635, 2071, 3270, 4142, 6213, 10355, 12426, 20710, 31065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62120 and 62130. The biggest common factor number is the GCF number.
So the greatest common factor 62120 and 62130 is 10.

Also check out the Least Common Multiple of 62120 and 62130