What is the Greatest Common Factor of 59780 and 59794?

Greatest common factor (GCF) of 59780 and 59794 is 14.

GCF(59780,59794) = 14

We will now calculate the prime factors of 59780 and 59794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59780 and 59794.

How to find the GCF of 59780 and 59794?

We will first find the prime factorization of 59780 and 59794. After we will calculate the factors of 59780 and 59794 and find the biggest common factor number .

Step-1: Prime Factorization of 59780

Prime factors of 59780 are 2, 5, 7, 61. Prime factorization of 59780 in exponential form is:

59780 = 2² × 5¹ × 7² × 61¹

Step-2: Prime Factorization of 59794

Prime factors of 59794 are 2, 7, 4271. Prime factorization of 59794 in exponential form is:

59794 = 2¹ × 7¹ × 4271¹

Step-3: Factors of 59780

List of positive integer factors of 59780 that divides 59780 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 61, 70, 98, 122, 140, 196, 244, 245, 305, 427, 490, 610, 854, 980, 1220, 1708, 2135, 2989, 4270, 5978, 8540, 11956, 14945, 29890

Step-4: Factors of 59794

List of positive integer factors of 59794 that divides 59780 without a remainder.

1, 2, 7, 14, 4271, 8542, 29897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59780 and 59794. The biggest common factor number is the GCF number.
So the greatest common factor 59780 and 59794 is 14.

Also check out the Least Common Multiple of 59780 and 59794