What is the Greatest Common Factor of 77450 and 77470?

Greatest common factor (GCF) of 77450 and 77470 is 10.

GCF(77450,77470) = 10

We will now calculate the prime factors of 77450 and 77470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77450 and 77470.

How to find the GCF of 77450 and 77470?

We will first find the prime factorization of 77450 and 77470. After we will calculate the factors of 77450 and 77470 and find the biggest common factor number .

Step-1: Prime Factorization of 77450

Prime factors of 77450 are 2, 5, 1549. Prime factorization of 77450 in exponential form is:

77450 = 2¹ × 5² × 1549¹

Step-2: Prime Factorization of 77470

Prime factors of 77470 are 2, 5, 61, 127. Prime factorization of 77470 in exponential form is:

77470 = 2¹ × 5¹ × 61¹ × 127¹

Step-3: Factors of 77450

List of positive integer factors of 77450 that divides 77450 without a remainder.

1, 2, 5, 10, 25, 50, 1549, 3098, 7745, 15490, 38725

Step-4: Factors of 77470

List of positive integer factors of 77470 that divides 77450 without a remainder.

1, 2, 5, 10, 61, 122, 127, 254, 305, 610, 635, 1270, 7747, 15494, 38735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77450 and 77470. The biggest common factor number is the GCF number.
So the greatest common factor 77450 and 77470 is 10.

Also check out the Least Common Multiple of 77450 and 77470