What is the Greatest Common Factor of 58984 and 58994?

Greatest common factor (GCF) of 58984 and 58994 is 2.

GCF(58984,58994) = 2

We will now calculate the prime factors of 58984 and 58994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58984 and 58994.

How to find the GCF of 58984 and 58994?

We will first find the prime factorization of 58984 and 58994. After we will calculate the factors of 58984 and 58994 and find the biggest common factor number .

Step-1: Prime Factorization of 58984

Prime factors of 58984 are 2, 73, 101. Prime factorization of 58984 in exponential form is:

58984 = 2³ × 73¹ × 101¹

Step-2: Prime Factorization of 58994

Prime factors of 58994 are 2, 13, 2269. Prime factorization of 58994 in exponential form is:

58994 = 2¹ × 13¹ × 2269¹

Step-3: Factors of 58984

List of positive integer factors of 58984 that divides 58984 without a remainder.

1, 2, 4, 8, 73, 101, 146, 202, 292, 404, 584, 808, 7373, 14746, 29492

Step-4: Factors of 58994

List of positive integer factors of 58994 that divides 58984 without a remainder.

1, 2, 13, 26, 2269, 4538, 29497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58984 and 58994. The biggest common factor number is the GCF number.
So the greatest common factor 58984 and 58994 is 2.

Also check out the Least Common Multiple of 58984 and 58994