What is the Greatest Common Factor of 87058 and 87077?

Greatest common factor (GCF) of 87058 and 87077 is 19.

GCF(87058,87077) = 19

We will now calculate the prime factors of 87058 and 87077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87058 and 87077.

How to find the GCF of 87058 and 87077?

We will first find the prime factorization of 87058 and 87077. After we will calculate the factors of 87058 and 87077 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 87077

Prime factors of 87077 are 19, 4583. Prime factorization of 87077 in exponential form is:

87077 = 19¹ × 4583¹

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 87077

List of positive integer factors of 87077 that divides 87058 without a remainder.

1, 19, 4583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87058 and 87077. The biggest common factor number is the GCF number.
So the greatest common factor 87058 and 87077 is 19.

Also check out the Least Common Multiple of 87058 and 87077