What is the Greatest Common Factor of 86961 and 86974?

Greatest common factor (GCF) of 86961 and 86974 is 1.

GCF(86961,86974) = 1

We will now calculate the prime factors of 86961 and 86974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86961 and 86974.

How to find the GCF of 86961 and 86974?

We will first find the prime factorization of 86961 and 86974. After we will calculate the factors of 86961 and 86974 and find the biggest common factor number .

Step-1: Prime Factorization of 86961

Prime factors of 86961 are 3, 7, 41, 101. Prime factorization of 86961 in exponential form is:

86961 = 3¹ × 7¹ × 41¹ × 101¹

Step-2: Prime Factorization of 86974

Prime factors of 86974 are 2, 43487. Prime factorization of 86974 in exponential form is:

86974 = 2¹ × 43487¹

Step-3: Factors of 86961

List of positive integer factors of 86961 that divides 86961 without a remainder.

1, 3, 7, 21, 41, 101, 123, 287, 303, 707, 861, 2121, 4141, 12423, 28987

Step-4: Factors of 86974

List of positive integer factors of 86974 that divides 86961 without a remainder.

1, 2, 43487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86961 and 86974. The biggest common factor number is the GCF number.
So the greatest common factor 86961 and 86974 is 1.

Also check out the Least Common Multiple of 86961 and 86974