What is the Greatest Common Factor of 61620 and 61630?

Greatest common factor (GCF) of 61620 and 61630 is 10.

GCF(61620,61630) = 10

We will now calculate the prime factors of 61620 and 61630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61620 and 61630.

How to find the GCF of 61620 and 61630?

We will first find the prime factorization of 61620 and 61630. After we will calculate the factors of 61620 and 61630 and find the biggest common factor number .

Step-1: Prime Factorization of 61620

Prime factors of 61620 are 2, 3, 5, 13, 79. Prime factorization of 61620 in exponential form is:

61620 = 2² × 3¹ × 5¹ × 13¹ × 79¹

Step-2: Prime Factorization of 61630

Prime factors of 61630 are 2, 5, 6163. Prime factorization of 61630 in exponential form is:

61630 = 2¹ × 5¹ × 6163¹

Step-3: Factors of 61620

List of positive integer factors of 61620 that divides 61620 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 79, 130, 156, 158, 195, 237, 260, 316, 390, 395, 474, 780, 790, 948, 1027, 1185, 1580, 2054, 2370, 3081, 4108, 4740, 5135, 6162, 10270, 12324, 15405, 20540, 30810

Step-4: Factors of 61630

List of positive integer factors of 61630 that divides 61620 without a remainder.

1, 2, 5, 10, 6163, 12326, 30815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61620 and 61630. The biggest common factor number is the GCF number.
So the greatest common factor 61620 and 61630 is 10.

Also check out the Least Common Multiple of 61620 and 61630