What is the Greatest Common Factor of 60996 and 61009?

Greatest common factor (GCF) of 60996 and 61009 is 13.

GCF(60996,61009) = 13

We will now calculate the prime factors of 60996 and 61009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60996 and 61009.

How to find the GCF of 60996 and 61009?

We will first find the prime factorization of 60996 and 61009. After we will calculate the factors of 60996 and 61009 and find the biggest common factor number .

Step-1: Prime Factorization of 60996

Prime factors of 60996 are 2, 3, 13, 17, 23. Prime factorization of 60996 in exponential form is:

60996 = 2² × 3¹ × 13¹ × 17¹ × 23¹

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 60996

List of positive integer factors of 60996 that divides 60996 without a remainder.

1, 2, 3, 4, 6, 12, 13, 17, 23, 26, 34, 39, 46, 51, 52, 68, 69, 78, 92, 102, 138, 156, 204, 221, 276, 299, 391, 442, 598, 663, 782, 884, 897, 1173, 1196, 1326, 1564, 1794, 2346, 2652, 3588, 4692, 5083, 10166, 15249, 20332, 30498

Step-4: Factors of 61009

List of positive integer factors of 61009 that divides 60996 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 60996 and 61009. The biggest common factor number is the GCF number.
So the greatest common factor 60996 and 61009 is 13.

Also check out the Least Common Multiple of 60996 and 61009