What is the Greatest Common Factor of 99274 and 99288?

Greatest common factor (GCF) of 99274 and 99288 is 14.

GCF(99274,99288) = 14

We will now calculate the prime factors of 99274 and 99288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99274 and 99288.

How to find the GCF of 99274 and 99288?

We will first find the prime factorization of 99274 and 99288. After we will calculate the factors of 99274 and 99288 and find the biggest common factor number .

Step-1: Prime Factorization of 99274

Prime factors of 99274 are 2, 7, 1013. Prime factorization of 99274 in exponential form is:

99274 = 2¹ × 7² × 1013¹

Step-2: Prime Factorization of 99288

Prime factors of 99288 are 2, 3, 7, 197. Prime factorization of 99288 in exponential form is:

99288 = 2³ × 3² × 7¹ × 197¹

Step-3: Factors of 99274

List of positive integer factors of 99274 that divides 99274 without a remainder.

1, 2, 7, 14, 49, 98, 1013, 2026, 7091, 14182, 49637

Step-4: Factors of 99288

List of positive integer factors of 99288 that divides 99274 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 197, 252, 394, 504, 591, 788, 1182, 1379, 1576, 1773, 2364, 2758, 3546, 4137, 4728, 5516, 7092, 8274, 11032, 12411, 14184, 16548, 24822, 33096, 49644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99274 and 99288. The biggest common factor number is the GCF number.
So the greatest common factor 99274 and 99288 is 14.

Also check out the Least Common Multiple of 99274 and 99288