What is the Greatest Common Factor of 61774 and 61784?

Greatest common factor (GCF) of 61774 and 61784 is 2.

GCF(61774,61784) = 2

We will now calculate the prime factors of 61774 and 61784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61774 and 61784.

How to find the GCF of 61774 and 61784?

We will first find the prime factorization of 61774 and 61784. After we will calculate the factors of 61774 and 61784 and find the biggest common factor number .

Step-1: Prime Factorization of 61774

Prime factors of 61774 are 2, 67, 461. Prime factorization of 61774 in exponential form is:

61774 = 2¹ × 67¹ × 461¹

Step-2: Prime Factorization of 61784

Prime factors of 61784 are 2, 7723. Prime factorization of 61784 in exponential form is:

61784 = 2³ × 7723¹

Step-3: Factors of 61774

List of positive integer factors of 61774 that divides 61774 without a remainder.

1, 2, 67, 134, 461, 922, 30887

Step-4: Factors of 61784

List of positive integer factors of 61784 that divides 61774 without a remainder.

1, 2, 4, 8, 7723, 15446, 30892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61774 and 61784. The biggest common factor number is the GCF number.
So the greatest common factor 61774 and 61784 is 2.

Also check out the Least Common Multiple of 61774 and 61784