What is the Greatest Common Factor of 61762 and 61768?

Greatest common factor (GCF) of 61762 and 61768 is 2.

GCF(61762,61768) = 2

We will now calculate the prime factors of 61762 and 61768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61762 and 61768.

How to find the GCF of 61762 and 61768?

We will first find the prime factorization of 61762 and 61768. After we will calculate the factors of 61762 and 61768 and find the biggest common factor number .

Step-1: Prime Factorization of 61762

Prime factors of 61762 are 2, 30881. Prime factorization of 61762 in exponential form is:

61762 = 2¹ × 30881¹

Step-2: Prime Factorization of 61768

Prime factors of 61768 are 2, 7, 1103. Prime factorization of 61768 in exponential form is:

61768 = 2³ × 7¹ × 1103¹

Step-3: Factors of 61762

List of positive integer factors of 61762 that divides 61762 without a remainder.

1, 2, 30881

Step-4: Factors of 61768

List of positive integer factors of 61768 that divides 61762 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1103, 2206, 4412, 7721, 8824, 15442, 30884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61762 and 61768. The biggest common factor number is the GCF number.
So the greatest common factor 61762 and 61768 is 2.

Also check out the Least Common Multiple of 61762 and 61768