What is the Greatest Common Factor of 81550 and 81557?

Greatest common factor (GCF) of 81550 and 81557 is 7.

GCF(81550,81557) = 7

We will now calculate the prime factors of 81550 and 81557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81550 and 81557.

How to find the GCF of 81550 and 81557?

We will first find the prime factorization of 81550 and 81557. After we will calculate the factors of 81550 and 81557 and find the biggest common factor number .

Step-1: Prime Factorization of 81550

Prime factors of 81550 are 2, 5, 7, 233. Prime factorization of 81550 in exponential form is:

81550 = 2¹ × 5² × 7¹ × 233¹

Step-2: Prime Factorization of 81557

Prime factors of 81557 are 7, 61, 191. Prime factorization of 81557 in exponential form is:

81557 = 7¹ × 61¹ × 191¹

Step-3: Factors of 81550

List of positive integer factors of 81550 that divides 81550 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 233, 350, 466, 1165, 1631, 2330, 3262, 5825, 8155, 11650, 16310, 40775

Step-4: Factors of 81557

List of positive integer factors of 81557 that divides 81550 without a remainder.

1, 7, 61, 191, 427, 1337, 11651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81550 and 81557. The biggest common factor number is the GCF number.
So the greatest common factor 81550 and 81557 is 7.

Also check out the Least Common Multiple of 81550 and 81557