What is the Greatest Common Factor of 61748 and 61765?

Greatest common factor (GCF) of 61748 and 61765 is 1.

GCF(61748,61765) = 1

We will now calculate the prime factors of 61748 and 61765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61748 and 61765.

How to find the GCF of 61748 and 61765?

We will first find the prime factorization of 61748 and 61765. After we will calculate the factors of 61748 and 61765 and find the biggest common factor number .

Step-1: Prime Factorization of 61748

Prime factors of 61748 are 2, 43, 359. Prime factorization of 61748 in exponential form is:

61748 = 2² × 43¹ × 359¹

Step-2: Prime Factorization of 61765

Prime factors of 61765 are 5, 11, 1123. Prime factorization of 61765 in exponential form is:

61765 = 5¹ × 11¹ × 1123¹

Step-3: Factors of 61748

List of positive integer factors of 61748 that divides 61748 without a remainder.

1, 2, 4, 43, 86, 172, 359, 718, 1436, 15437, 30874

Step-4: Factors of 61765

List of positive integer factors of 61765 that divides 61748 without a remainder.

1, 5, 11, 55, 1123, 5615, 12353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61748 and 61765. The biggest common factor number is the GCF number.
So the greatest common factor 61748 and 61765 is 1.

Also check out the Least Common Multiple of 61748 and 61765