What is the Greatest Common Factor of 58454 and 58460?

Greatest common factor (GCF) of 58454 and 58460 is 2.

GCF(58454,58460) = 2

We will now calculate the prime factors of 58454 and 58460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58454 and 58460.

How to find the GCF of 58454 and 58460?

We will first find the prime factorization of 58454 and 58460. After we will calculate the factors of 58454 and 58460 and find the biggest common factor number .

Step-1: Prime Factorization of 58454

Prime factors of 58454 are 2, 11, 2657. Prime factorization of 58454 in exponential form is:

58454 = 2¹ × 11¹ × 2657¹

Step-2: Prime Factorization of 58460

Prime factors of 58460 are 2, 5, 37, 79. Prime factorization of 58460 in exponential form is:

58460 = 2² × 5¹ × 37¹ × 79¹

Step-3: Factors of 58454

List of positive integer factors of 58454 that divides 58454 without a remainder.

1, 2, 11, 22, 2657, 5314, 29227

Step-4: Factors of 58460

List of positive integer factors of 58460 that divides 58454 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 79, 148, 158, 185, 316, 370, 395, 740, 790, 1580, 2923, 5846, 11692, 14615, 29230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58454 and 58460. The biggest common factor number is the GCF number.
So the greatest common factor 58454 and 58460 is 2.

Also check out the Least Common Multiple of 58454 and 58460