What is the Greatest Common Factor of 86996 and 87009?

Greatest common factor (GCF) of 86996 and 87009 is 13.

GCF(86996,87009) = 13

We will now calculate the prime factors of 86996 and 87009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86996 and 87009.

How to find the GCF of 86996 and 87009?

We will first find the prime factorization of 86996 and 87009. After we will calculate the factors of 86996 and 87009 and find the biggest common factor number .

Step-1: Prime Factorization of 86996

Prime factors of 86996 are 2, 7, 13, 239. Prime factorization of 86996 in exponential form is:

86996 = 2² × 7¹ × 13¹ × 239¹

Step-2: Prime Factorization of 87009

Prime factors of 87009 are 3, 13, 23, 97. Prime factorization of 87009 in exponential form is:

87009 = 3¹ × 13¹ × 23¹ × 97¹

Step-3: Factors of 86996

List of positive integer factors of 86996 that divides 86996 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 239, 364, 478, 956, 1673, 3107, 3346, 6214, 6692, 12428, 21749, 43498

Step-4: Factors of 87009

List of positive integer factors of 87009 that divides 86996 without a remainder.

1, 3, 13, 23, 39, 69, 97, 291, 299, 897, 1261, 2231, 3783, 6693, 29003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86996 and 87009. The biggest common factor number is the GCF number.
So the greatest common factor 86996 and 87009 is 13.

Also check out the Least Common Multiple of 86996 and 87009