What is the Greatest Common Factor of 60991 and 61009?

Greatest common factor (GCF) of 60991 and 61009 is 1.

GCF(60991,61009) = 1

We will now calculate the prime factors of 60991 and 61009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60991 and 61009.

How to find the GCF of 60991 and 61009?

We will first find the prime factorization of 60991 and 61009. After we will calculate the factors of 60991 and 61009 and find the biggest common factor number .

Step-1: Prime Factorization of 60991

Prime factors of 60991 are 7, 8713. Prime factorization of 60991 in exponential form is:

60991 = 7¹ × 8713¹

Step-2: Prime Factorization of 61009

Prime factors of 61009 are 13, 19. Prime factorization of 61009 in exponential form is:

61009 = 13² × 19²

Step-3: Factors of 60991

List of positive integer factors of 60991 that divides 60991 without a remainder.

1, 7, 8713

Step-4: Factors of 61009

List of positive integer factors of 61009 that divides 60991 without a remainder.

1, 13, 19, 169, 247, 361, 3211, 4693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60991 and 61009. The biggest common factor number is the GCF number.
So the greatest common factor 60991 and 61009 is 1.

Also check out the Least Common Multiple of 60991 and 61009