What is the Greatest Common Factor of 77590 and 77604?

Greatest common factor (GCF) of 77590 and 77604 is 2.

GCF(77590,77604) = 2

We will now calculate the prime factors of 77590 and 77604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77590 and 77604.

How to find the GCF of 77590 and 77604?

We will first find the prime factorization of 77590 and 77604. After we will calculate the factors of 77590 and 77604 and find the biggest common factor number .

Step-1: Prime Factorization of 77590

Prime factors of 77590 are 2, 5, 7759. Prime factorization of 77590 in exponential form is:

77590 = 2¹ × 5¹ × 7759¹

Step-2: Prime Factorization of 77604

Prime factors of 77604 are 2, 3, 29, 223. Prime factorization of 77604 in exponential form is:

77604 = 2² × 3¹ × 29¹ × 223¹

Step-3: Factors of 77590

List of positive integer factors of 77590 that divides 77590 without a remainder.

1, 2, 5, 10, 7759, 15518, 38795

Step-4: Factors of 77604

List of positive integer factors of 77604 that divides 77590 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 223, 348, 446, 669, 892, 1338, 2676, 6467, 12934, 19401, 25868, 38802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77590 and 77604. The biggest common factor number is the GCF number.
So the greatest common factor 77590 and 77604 is 2.

Also check out the Least Common Multiple of 77590 and 77604