What is the Greatest Common Factor of 89131 and 89138?

Greatest common factor (GCF) of 89131 and 89138 is 7.

GCF(89131,89138) = 7

We will now calculate the prime factors of 89131 and 89138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89131 and 89138.

How to find the GCF of 89131 and 89138?

We will first find the prime factorization of 89131 and 89138. After we will calculate the factors of 89131 and 89138 and find the biggest common factor number .

Step-1: Prime Factorization of 89131

Prime factors of 89131 are 7, 17, 107. Prime factorization of 89131 in exponential form is:

89131 = 7² × 17¹ × 107¹

Step-2: Prime Factorization of 89138

Prime factors of 89138 are 2, 7, 6367. Prime factorization of 89138 in exponential form is:

89138 = 2¹ × 7¹ × 6367¹

Step-3: Factors of 89131

List of positive integer factors of 89131 that divides 89131 without a remainder.

1, 7, 17, 49, 107, 119, 749, 833, 1819, 5243, 12733

Step-4: Factors of 89138

List of positive integer factors of 89138 that divides 89131 without a remainder.

1, 2, 7, 14, 6367, 12734, 44569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89131 and 89138. The biggest common factor number is the GCF number.
So the greatest common factor 89131 and 89138 is 7.

Also check out the Least Common Multiple of 89131 and 89138