What is the Greatest Common Factor of 58646 and 58654?

Greatest common factor (GCF) of 58646 and 58654 is 2.

GCF(58646,58654) = 2

We will now calculate the prime factors of 58646 and 58654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58646 and 58654.

How to find the GCF of 58646 and 58654?

We will first find the prime factorization of 58646 and 58654. After we will calculate the factors of 58646 and 58654 and find the biggest common factor number .

Step-1: Prime Factorization of 58646

Prime factors of 58646 are 2, 7, 59, 71. Prime factorization of 58646 in exponential form is:

58646 = 2¹ × 7¹ × 59¹ × 71¹

Step-2: Prime Factorization of 58654

Prime factors of 58654 are 2, 29327. Prime factorization of 58654 in exponential form is:

58654 = 2¹ × 29327¹

Step-3: Factors of 58646

List of positive integer factors of 58646 that divides 58646 without a remainder.

1, 2, 7, 14, 59, 71, 118, 142, 413, 497, 826, 994, 4189, 8378, 29323

Step-4: Factors of 58654

List of positive integer factors of 58654 that divides 58646 without a remainder.

1, 2, 29327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58646 and 58654. The biggest common factor number is the GCF number.
So the greatest common factor 58646 and 58654 is 2.

Also check out the Least Common Multiple of 58646 and 58654