What is the Greatest Common Factor of 59772 and 59786?

Greatest common factor (GCF) of 59772 and 59786 is 2.

GCF(59772,59786) = 2

We will now calculate the prime factors of 59772 and 59786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59772 and 59786.

How to find the GCF of 59772 and 59786?

We will first find the prime factorization of 59772 and 59786. After we will calculate the factors of 59772 and 59786 and find the biggest common factor number .

Step-1: Prime Factorization of 59772

Prime factors of 59772 are 2, 3, 17, 293. Prime factorization of 59772 in exponential form is:

59772 = 2² × 3¹ × 17¹ × 293¹

Step-2: Prime Factorization of 59786

Prime factors of 59786 are 2, 167, 179. Prime factorization of 59786 in exponential form is:

59786 = 2¹ × 167¹ × 179¹

Step-3: Factors of 59772

List of positive integer factors of 59772 that divides 59772 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 293, 586, 879, 1172, 1758, 3516, 4981, 9962, 14943, 19924, 29886

Step-4: Factors of 59786

List of positive integer factors of 59786 that divides 59772 without a remainder.

1, 2, 167, 179, 334, 358, 29893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59772 and 59786. The biggest common factor number is the GCF number.
So the greatest common factor 59772 and 59786 is 2.

Also check out the Least Common Multiple of 59772 and 59786