What is the Greatest Common Factor of 59727 and 59736?

Greatest common factor (GCF) of 59727 and 59736 is 3.

GCF(59727,59736) = 3

We will now calculate the prime factors of 59727 and 59736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59727 and 59736.

How to find the GCF of 59727 and 59736?

We will first find the prime factorization of 59727 and 59736. After we will calculate the factors of 59727 and 59736 and find the biggest common factor number .

Step-1: Prime Factorization of 59727

Prime factors of 59727 are 3, 43, 463. Prime factorization of 59727 in exponential form is:

59727 = 3¹ × 43¹ × 463¹

Step-2: Prime Factorization of 59736

Prime factors of 59736 are 2, 3, 19, 131. Prime factorization of 59736 in exponential form is:

59736 = 2³ × 3¹ × 19¹ × 131¹

Step-3: Factors of 59727

List of positive integer factors of 59727 that divides 59727 without a remainder.

1, 3, 43, 129, 463, 1389, 19909

Step-4: Factors of 59736

List of positive integer factors of 59736 that divides 59727 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 131, 152, 228, 262, 393, 456, 524, 786, 1048, 1572, 2489, 3144, 4978, 7467, 9956, 14934, 19912, 29868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59727 and 59736. The biggest common factor number is the GCF number.
So the greatest common factor 59727 and 59736 is 3.

Also check out the Least Common Multiple of 59727 and 59736