What is the Greatest Common Factor of 74970 and 74983?

Greatest common factor (GCF) of 74970 and 74983 is 1.

GCF(74970,74983) = 1

We will now calculate the prime factors of 74970 and 74983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74970 and 74983.

How to find the GCF of 74970 and 74983?

We will first find the prime factorization of 74970 and 74983. After we will calculate the factors of 74970 and 74983 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74983

Prime factors of 74983 are 167, 449. Prime factorization of 74983 in exponential form is:

74983 = 167¹ × 449¹

Step-3: Factors of 74970

List of positive integer factors of 74970 that divides 74970 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

Step-4: Factors of 74983

List of positive integer factors of 74983 that divides 74970 without a remainder.

1, 167, 449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74970 and 74983. The biggest common factor number is the GCF number.
So the greatest common factor 74970 and 74983 is 1.

Also check out the Least Common Multiple of 74970 and 74983