What is the Greatest Common Factor of 75658 and 75677?

Greatest common factor (GCF) of 75658 and 75677 is 19.

GCF(75658,75677) = 19

We will now calculate the prime factors of 75658 and 75677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75658 and 75677.

How to find the GCF of 75658 and 75677?

We will first find the prime factorization of 75658 and 75677. After we will calculate the factors of 75658 and 75677 and find the biggest common factor number .

Step-1: Prime Factorization of 75658

Prime factors of 75658 are 2, 11, 19, 181. Prime factorization of 75658 in exponential form is:

75658 = 2¹ × 11¹ × 19¹ × 181¹

Step-2: Prime Factorization of 75677

Prime factors of 75677 are 7, 19, 569. Prime factorization of 75677 in exponential form is:

75677 = 7¹ × 19¹ × 569¹

Step-3: Factors of 75658

List of positive integer factors of 75658 that divides 75658 without a remainder.

1, 2, 11, 19, 22, 38, 181, 209, 362, 418, 1991, 3439, 3982, 6878, 37829

Step-4: Factors of 75677

List of positive integer factors of 75677 that divides 75658 without a remainder.

1, 7, 19, 133, 569, 3983, 10811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75658 and 75677. The biggest common factor number is the GCF number.
So the greatest common factor 75658 and 75677 is 19.

Also check out the Least Common Multiple of 75658 and 75677