What is the Greatest Common Factor of 61996 and 62015?

Greatest common factor (GCF) of 61996 and 62015 is 1.

GCF(61996,62015) = 1

We will now calculate the prime factors of 61996 and 62015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61996 and 62015.

How to find the GCF of 61996 and 62015?

We will first find the prime factorization of 61996 and 62015. After we will calculate the factors of 61996 and 62015 and find the biggest common factor number .

Step-1: Prime Factorization of 61996

Prime factors of 61996 are 2, 11, 1409. Prime factorization of 61996 in exponential form is:

61996 = 2² × 11¹ × 1409¹

Step-2: Prime Factorization of 62015

Prime factors of 62015 are 5, 79, 157. Prime factorization of 62015 in exponential form is:

62015 = 5¹ × 79¹ × 157¹

Step-3: Factors of 61996

List of positive integer factors of 61996 that divides 61996 without a remainder.

1, 2, 4, 11, 22, 44, 1409, 2818, 5636, 15499, 30998

Step-4: Factors of 62015

List of positive integer factors of 62015 that divides 61996 without a remainder.

1, 5, 79, 157, 395, 785, 12403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61996 and 62015. The biggest common factor number is the GCF number.
So the greatest common factor 61996 and 62015 is 1.

Also check out the Least Common Multiple of 61996 and 62015