What is the Greatest Common Factor of 75194 and 75202?

Greatest common factor (GCF) of 75194 and 75202 is 2.

GCF(75194,75202) = 2

We will now calculate the prime factors of 75194 and 75202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75194 and 75202.

How to find the GCF of 75194 and 75202?

We will first find the prime factorization of 75194 and 75202. After we will calculate the factors of 75194 and 75202 and find the biggest common factor number .

Step-1: Prime Factorization of 75194

Prime factors of 75194 are 2, 7, 41, 131. Prime factorization of 75194 in exponential form is:

75194 = 2¹ × 7¹ × 41¹ × 131¹

Step-2: Prime Factorization of 75202

Prime factors of 75202 are 2, 19, 1979. Prime factorization of 75202 in exponential form is:

75202 = 2¹ × 19¹ × 1979¹

Step-3: Factors of 75194

List of positive integer factors of 75194 that divides 75194 without a remainder.

1, 2, 7, 14, 41, 82, 131, 262, 287, 574, 917, 1834, 5371, 10742, 37597

Step-4: Factors of 75202

List of positive integer factors of 75202 that divides 75194 without a remainder.

1, 2, 19, 38, 1979, 3958, 37601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75194 and 75202. The biggest common factor number is the GCF number.
So the greatest common factor 75194 and 75202 is 2.

Also check out the Least Common Multiple of 75194 and 75202