What is the Greatest Common Factor of 61860 and 61872?

Greatest common factor (GCF) of 61860 and 61872 is 12.

GCF(61860,61872) = 12

We will now calculate the prime factors of 61860 and 61872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61860 and 61872.

How to find the GCF of 61860 and 61872?

We will first find the prime factorization of 61860 and 61872. After we will calculate the factors of 61860 and 61872 and find the biggest common factor number .

Step-1: Prime Factorization of 61860

Prime factors of 61860 are 2, 3, 5, 1031. Prime factorization of 61860 in exponential form is:

61860 = 2² × 3¹ × 5¹ × 1031¹

Step-2: Prime Factorization of 61872

Prime factors of 61872 are 2, 3, 1289. Prime factorization of 61872 in exponential form is:

61872 = 2⁴ × 3¹ × 1289¹

Step-3: Factors of 61860

List of positive integer factors of 61860 that divides 61860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1031, 2062, 3093, 4124, 5155, 6186, 10310, 12372, 15465, 20620, 30930

Step-4: Factors of 61872

List of positive integer factors of 61872 that divides 61860 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1289, 2578, 3867, 5156, 7734, 10312, 15468, 20624, 30936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61860 and 61872. The biggest common factor number is the GCF number.
So the greatest common factor 61860 and 61872 is 12.

Also check out the Least Common Multiple of 61860 and 61872