What is the Greatest Common Factor of 87039 and 87058?

Greatest common factor (GCF) of 87039 and 87058 is 19.

GCF(87039,87058) = 19

We will now calculate the prime factors of 87039 and 87058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87039 and 87058.

How to find the GCF of 87039 and 87058?

We will first find the prime factorization of 87039 and 87058. After we will calculate the factors of 87039 and 87058 and find the biggest common factor number .

Step-1: Prime Factorization of 87039

Prime factors of 87039 are 3, 19, 509. Prime factorization of 87039 in exponential form is:

87039 = 3² × 19¹ × 509¹

Step-2: 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-3: Factors of 87039

List of positive integer factors of 87039 that divides 87039 without a remainder.

1, 3, 9, 19, 57, 171, 509, 1527, 4581, 9671, 29013

Step-4: Factors of 87058

List of positive integer factors of 87058 that divides 87039 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87039 and 87058. The biggest common factor number is the GCF number.
So the greatest common factor 87039 and 87058 is 19.

Also check out the Least Common Multiple of 87039 and 87058