What is the Greatest Common Factor of 89037 and 89050?

Greatest common factor (GCF) of 89037 and 89050 is 13.

GCF(89037,89050) = 13

We will now calculate the prime factors of 89037 and 89050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89037 and 89050.

How to find the GCF of 89037 and 89050?

We will first find the prime factorization of 89037 and 89050. After we will calculate the factors of 89037 and 89050 and find the biggest common factor number .

Step-1: Prime Factorization of 89037

Prime factors of 89037 are 3, 13, 761. Prime factorization of 89037 in exponential form is:

89037 = 3² × 13¹ × 761¹

Step-2: Prime Factorization of 89050

Prime factors of 89050 are 2, 5, 13, 137. Prime factorization of 89050 in exponential form is:

89050 = 2¹ × 5² × 13¹ × 137¹

Step-3: Factors of 89037

List of positive integer factors of 89037 that divides 89037 without a remainder.

1, 3, 9, 13, 39, 117, 761, 2283, 6849, 9893, 29679

Step-4: Factors of 89050

List of positive integer factors of 89050 that divides 89037 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 137, 274, 325, 650, 685, 1370, 1781, 3425, 3562, 6850, 8905, 17810, 44525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89037 and 89050. The biggest common factor number is the GCF number.
So the greatest common factor 89037 and 89050 is 13.

Also check out the Least Common Multiple of 89037 and 89050