What is the Greatest Common Factor of 59836 and 59854?

Greatest common factor (GCF) of 59836 and 59854 is 2.

GCF(59836,59854) = 2

We will now calculate the prime factors of 59836 and 59854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59836 and 59854.

How to find the GCF of 59836 and 59854?

We will first find the prime factorization of 59836 and 59854. After we will calculate the factors of 59836 and 59854 and find the biggest common factor number .

Step-1: Prime Factorization of 59836

Prime factors of 59836 are 2, 7, 2137. Prime factorization of 59836 in exponential form is:

59836 = 2² × 7¹ × 2137¹

Step-2: Prime Factorization of 59854

Prime factors of 59854 are 2, 29927. Prime factorization of 59854 in exponential form is:

59854 = 2¹ × 29927¹

Step-3: Factors of 59836

List of positive integer factors of 59836 that divides 59836 without a remainder.

1, 2, 4, 7, 14, 28, 2137, 4274, 8548, 14959, 29918

Step-4: Factors of 59854

List of positive integer factors of 59854 that divides 59836 without a remainder.

1, 2, 29927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59836 and 59854. The biggest common factor number is the GCF number.
So the greatest common factor 59836 and 59854 is 2.

Also check out the Least Common Multiple of 59836 and 59854