What is the Greatest Common Factor of 88235 and 88242?

Greatest common factor (GCF) of 88235 and 88242 is 7.

GCF(88235,88242) = 7

We will now calculate the prime factors of 88235 and 88242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88235 and 88242.

How to find the GCF of 88235 and 88242?

We will first find the prime factorization of 88235 and 88242. After we will calculate the factors of 88235 and 88242 and find the biggest common factor number .

Step-1: Prime Factorization of 88235

Prime factors of 88235 are 5, 7, 2521. Prime factorization of 88235 in exponential form is:

88235 = 5¹ × 7¹ × 2521¹

Step-2: Prime Factorization of 88242

Prime factors of 88242 are 2, 3, 7, 11, 191. Prime factorization of 88242 in exponential form is:

88242 = 2¹ × 3¹ × 7¹ × 11¹ × 191¹

Step-3: Factors of 88235

List of positive integer factors of 88235 that divides 88235 without a remainder.

1, 5, 7, 35, 2521, 12605, 17647

Step-4: Factors of 88242

List of positive integer factors of 88242 that divides 88235 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 191, 231, 382, 462, 573, 1146, 1337, 2101, 2674, 4011, 4202, 6303, 8022, 12606, 14707, 29414, 44121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88235 and 88242. The biggest common factor number is the GCF number.
So the greatest common factor 88235 and 88242 is 7.

Also check out the Least Common Multiple of 88235 and 88242