What is the Greatest Common Factor of 77035 and 77045?

Greatest common factor (GCF) of 77035 and 77045 is 5.

GCF(77035,77045) = 5

We will now calculate the prime factors of 77035 and 77045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77035 and 77045.

How to find the GCF of 77035 and 77045?

We will first find the prime factorization of 77035 and 77045. After we will calculate the factors of 77035 and 77045 and find the biggest common factor number .

Step-1: Prime Factorization of 77035

Prime factors of 77035 are 5, 7, 31, 71. Prime factorization of 77035 in exponential form is:

77035 = 5¹ × 7¹ × 31¹ × 71¹

Step-2: Prime Factorization of 77045

Prime factors of 77045 are 5, 19, 811. Prime factorization of 77045 in exponential form is:

77045 = 5¹ × 19¹ × 811¹

Step-3: Factors of 77035

List of positive integer factors of 77035 that divides 77035 without a remainder.

1, 5, 7, 31, 35, 71, 155, 217, 355, 497, 1085, 2201, 2485, 11005, 15407

Step-4: Factors of 77045

List of positive integer factors of 77045 that divides 77035 without a remainder.

1, 5, 19, 95, 811, 4055, 15409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77035 and 77045. The biggest common factor number is the GCF number.
So the greatest common factor 77035 and 77045 is 5.

Also check out the Least Common Multiple of 77035 and 77045