What is the Greatest Common Factor of 74963 and 74970?

Greatest common factor (GCF) of 74963 and 74970 is 7.

GCF(74963,74970) = 7

We will now calculate the prime factors of 74963 and 74970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74963 and 74970.

How to find the GCF of 74963 and 74970?

We will first find the prime factorization of 74963 and 74970. After we will calculate the factors of 74963 and 74970 and find the biggest common factor number .

Step-1: Prime Factorization of 74963

Prime factors of 74963 are 7, 10709. Prime factorization of 74963 in exponential form is:

74963 = 7¹ × 10709¹

Step-2: Prime Factorization of 74970

Prime factors of 74970 are 2, 3, 5, 7, 17. Prime factorization of 74970 in exponential form is:

74970 = 2¹ × 3² × 5¹ × 7² × 17¹

Step-3: Factors of 74963

List of positive integer factors of 74963 that divides 74963 without a remainder.

1, 7, 10709

Step-4: Factors of 74970

List of positive integer factors of 74970 that divides 74963 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 17, 18, 21, 30, 34, 35, 42, 45, 49, 51, 63, 70, 85, 90, 98, 102, 105, 119, 126, 147, 153, 170, 210, 238, 245, 255, 294, 306, 315, 357, 441, 490, 510, 595, 630, 714, 735, 765, 833, 882, 1071, 1190, 1470, 1530, 1666, 1785, 2142, 2205, 2499, 3570, 4165, 4410, 4998, 5355, 7497, 8330, 10710, 12495, 14994, 24990, 37485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74963 and 74970. The biggest common factor number is the GCF number.
So the greatest common factor 74963 and 74970 is 7.

Also check out the Least Common Multiple of 74963 and 74970