What is the Greatest Common Factor of 77194 and 77202?

Greatest common factor (GCF) of 77194 and 77202 is 2.

GCF(77194,77202) = 2

We will now calculate the prime factors of 77194 and 77202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77194 and 77202.

How to find the GCF of 77194 and 77202?

We will first find the prime factorization of 77194 and 77202. After we will calculate the factors of 77194 and 77202 and find the biggest common factor number .

Step-1: Prime Factorization of 77194

Prime factors of 77194 are 2, 13, 2969. Prime factorization of 77194 in exponential form is:

77194 = 2¹ × 13¹ × 2969¹

Step-2: Prime Factorization of 77202

Prime factors of 77202 are 2, 3, 4289. Prime factorization of 77202 in exponential form is:

77202 = 2¹ × 3² × 4289¹

Step-3: Factors of 77194

List of positive integer factors of 77194 that divides 77194 without a remainder.

1, 2, 13, 26, 2969, 5938, 38597

Step-4: Factors of 77202

List of positive integer factors of 77202 that divides 77194 without a remainder.

1, 2, 3, 6, 9, 18, 4289, 8578, 12867, 25734, 38601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77194 and 77202. The biggest common factor number is the GCF number.
So the greatest common factor 77194 and 77202 is 2.

Also check out the Least Common Multiple of 77194 and 77202