What is the Greatest Common Factor of 86970 and 86984?

Greatest common factor (GCF) of 86970 and 86984 is 2.

GCF(86970,86984) = 2

We will now calculate the prime factors of 86970 and 86984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86970 and 86984.

How to find the GCF of 86970 and 86984?

We will first find the prime factorization of 86970 and 86984. After we will calculate the factors of 86970 and 86984 and find the biggest common factor number .

Step-1: Prime Factorization of 86970

Prime factors of 86970 are 2, 3, 5, 13, 223. Prime factorization of 86970 in exponential form is:

86970 = 2¹ × 3¹ × 5¹ × 13¹ × 223¹

Step-2: Prime Factorization of 86984

Prime factors of 86984 are 2, 83, 131. Prime factorization of 86984 in exponential form is:

86984 = 2³ × 83¹ × 131¹

Step-3: Factors of 86970

List of positive integer factors of 86970 that divides 86970 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 223, 390, 446, 669, 1115, 1338, 2230, 2899, 3345, 5798, 6690, 8697, 14495, 17394, 28990, 43485

Step-4: Factors of 86984

List of positive integer factors of 86984 that divides 86970 without a remainder.

1, 2, 4, 8, 83, 131, 166, 262, 332, 524, 664, 1048, 10873, 21746, 43492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86970 and 86984. The biggest common factor number is the GCF number.
So the greatest common factor 86970 and 86984 is 2.

Also check out the Least Common Multiple of 86970 and 86984