What is the Greatest Common Factor of 61009 and 61022?

Greatest common factor (GCF) of 61009 and 61022 is 13.

GCF(61009,61022) = 13

We will now calculate the prime factors of 61009 and 61022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61009 and 61022.

How to find the GCF of 61009 and 61022?

We will first find the prime factorization of 61009 and 61022. After we will calculate the factors of 61009 and 61022 and find the biggest common factor number .

Step-1: Prime Factorization of 61009

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

61009 = 13² × 19²

Step-2: Prime Factorization of 61022

Prime factors of 61022 are 2, 13, 2347. Prime factorization of 61022 in exponential form is:

61022 = 2¹ × 13¹ × 2347¹

Step-3: Factors of 61009

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

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

Step-4: Factors of 61022

List of positive integer factors of 61022 that divides 61009 without a remainder.

1, 2, 13, 26, 2347, 4694, 30511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61009 and 61022. The biggest common factor number is the GCF number.
So the greatest common factor 61009 and 61022 is 13.

Also check out the Least Common Multiple of 61009 and 61022