What is the Greatest Common Factor of 87058 and 87066?

Greatest common factor (GCF) of 87058 and 87066 is 2.

GCF(87058,87066) = 2

We will now calculate the prime factors of 87058 and 87066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87058 and 87066.

How to find the GCF of 87058 and 87066?

We will first find the prime factorization of 87058 and 87066. After we will calculate the factors of 87058 and 87066 and find the biggest common factor number .

Step-1: Prime Factorization of 87058

Prime factors of 87058 are 2, 19, 29, 79. Prime factorization of 87058 in exponential form is:

87058 = 2¹ × 19¹ × 29¹ × 79¹

Step-2: Prime Factorization of 87066

Prime factors of 87066 are 2, 3, 7, 691. Prime factorization of 87066 in exponential form is:

87066 = 2¹ × 3² × 7¹ × 691¹

Step-3: Factors of 87058

List of positive integer factors of 87058 that divides 87058 without a remainder.

1, 2, 19, 29, 38, 58, 79, 158, 551, 1102, 1501, 2291, 3002, 4582, 43529

Step-4: Factors of 87066

List of positive integer factors of 87066 that divides 87058 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 691, 1382, 2073, 4146, 4837, 6219, 9674, 12438, 14511, 29022, 43533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87058 and 87066. The biggest common factor number is the GCF number.
So the greatest common factor 87058 and 87066 is 2.

Also check out the Least Common Multiple of 87058 and 87066