What is the Greatest Common Factor of 88270 and 88277?

Greatest common factor (GCF) of 88270 and 88277 is 7.

GCF(88270,88277) = 7

We will now calculate the prime factors of 88270 and 88277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88270 and 88277.

How to find the GCF of 88270 and 88277?

We will first find the prime factorization of 88270 and 88277. After we will calculate the factors of 88270 and 88277 and find the biggest common factor number .

Step-1: Prime Factorization of 88270

Prime factors of 88270 are 2, 5, 7, 13, 97. Prime factorization of 88270 in exponential form is:

88270 = 2¹ × 5¹ × 7¹ × 13¹ × 97¹

Step-2: Prime Factorization of 88277

Prime factors of 88277 are 7, 12611. Prime factorization of 88277 in exponential form is:

88277 = 7¹ × 12611¹

Step-3: Factors of 88270

List of positive integer factors of 88270 that divides 88270 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 97, 130, 182, 194, 455, 485, 679, 910, 970, 1261, 1358, 2522, 3395, 6305, 6790, 8827, 12610, 17654, 44135

Step-4: Factors of 88277

List of positive integer factors of 88277 that divides 88270 without a remainder.

1, 7, 12611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88270 and 88277. The biggest common factor number is the GCF number.
So the greatest common factor 88270 and 88277 is 7.

Also check out the Least Common Multiple of 88270 and 88277