What is the Greatest Common Factor of 62130 and 62140?

Greatest common factor (GCF) of 62130 and 62140 is 10.

GCF(62130,62140) = 10

We will now calculate the prime factors of 62130 and 62140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62130 and 62140.

How to find the GCF of 62130 and 62140?

We will first find the prime factorization of 62130 and 62140. After we will calculate the factors of 62130 and 62140 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62140

Prime factors of 62140 are 2, 5, 13, 239. Prime factorization of 62140 in exponential form is:

62140 = 2² × 5¹ × 13¹ × 239¹

Step-3: Factors of 62130

List of positive integer factors of 62130 that divides 62130 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

Step-4: Factors of 62140

List of positive integer factors of 62140 that divides 62130 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 239, 260, 478, 956, 1195, 2390, 3107, 4780, 6214, 12428, 15535, 31070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62130 and 62140. The biggest common factor number is the GCF number.
So the greatest common factor 62130 and 62140 is 10.

Also check out the Least Common Multiple of 62130 and 62140