What is the Greatest Common Factor of 59738 and 59754?

Greatest common factor (GCF) of 59738 and 59754 is 2.

GCF(59738,59754) = 2

We will now calculate the prime factors of 59738 and 59754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59738 and 59754.

How to find the GCF of 59738 and 59754?

We will first find the prime factorization of 59738 and 59754. After we will calculate the factors of 59738 and 59754 and find the biggest common factor number .

Step-1: Prime Factorization of 59738

Prime factors of 59738 are 2, 7, 17, 251. Prime factorization of 59738 in exponential form is:

59738 = 2¹ × 7¹ × 17¹ × 251¹

Step-2: Prime Factorization of 59754

Prime factors of 59754 are 2, 3, 23, 433. Prime factorization of 59754 in exponential form is:

59754 = 2¹ × 3¹ × 23¹ × 433¹

Step-3: Factors of 59738

List of positive integer factors of 59738 that divides 59738 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 251, 502, 1757, 3514, 4267, 8534, 29869

Step-4: Factors of 59754

List of positive integer factors of 59754 that divides 59738 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 433, 866, 1299, 2598, 9959, 19918, 29877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59738 and 59754. The biggest common factor number is the GCF number.
So the greatest common factor 59738 and 59754 is 2.

Also check out the Least Common Multiple of 59738 and 59754