What is the Greatest Common Factor of 59770 and 59785?

Greatest common factor (GCF) of 59770 and 59785 is 5.

GCF(59770,59785) = 5

We will now calculate the prime factors of 59770 and 59785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59770 and 59785.

How to find the GCF of 59770 and 59785?

We will first find the prime factorization of 59770 and 59785. After we will calculate the factors of 59770 and 59785 and find the biggest common factor number .

Step-1: Prime Factorization of 59770

Prime factors of 59770 are 2, 5, 43, 139. Prime factorization of 59770 in exponential form is:

59770 = 2¹ × 5¹ × 43¹ × 139¹

Step-2: Prime Factorization of 59785

Prime factors of 59785 are 5, 11, 1087. Prime factorization of 59785 in exponential form is:

59785 = 5¹ × 11¹ × 1087¹

Step-3: Factors of 59770

List of positive integer factors of 59770 that divides 59770 without a remainder.

1, 2, 5, 10, 43, 86, 139, 215, 278, 430, 695, 1390, 5977, 11954, 29885

Step-4: Factors of 59785

List of positive integer factors of 59785 that divides 59770 without a remainder.

1, 5, 11, 55, 1087, 5435, 11957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59770 and 59785. The biggest common factor number is the GCF number.
So the greatest common factor 59770 and 59785 is 5.

Also check out the Least Common Multiple of 59770 and 59785