What is the Greatest Common Factor of 74490 and 74507?

Greatest common factor (GCF) of 74490 and 74507 is 1.

GCF(74490,74507) = 1

We will now calculate the prime factors of 74490 and 74507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74490 and 74507.

How to find the GCF of 74490 and 74507?

We will first find the prime factorization of 74490 and 74507. After we will calculate the factors of 74490 and 74507 and find the biggest common factor number .

Step-1: Prime Factorization of 74490

Prime factors of 74490 are 2, 3, 5, 13, 191. Prime factorization of 74490 in exponential form is:

74490 = 2¹ × 3¹ × 5¹ × 13¹ × 191¹

Step-2: Prime Factorization of 74507

Prime factors of 74507 are 74507. Prime factorization of 74507 in exponential form is:

74507 = 74507¹

Step-3: Factors of 74490

List of positive integer factors of 74490 that divides 74490 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 191, 195, 382, 390, 573, 955, 1146, 1910, 2483, 2865, 4966, 5730, 7449, 12415, 14898, 24830, 37245

Step-4: Factors of 74507

List of positive integer factors of 74507 that divides 74490 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74490 and 74507. The biggest common factor number is the GCF number.
So the greatest common factor 74490 and 74507 is 1.

Also check out the Least Common Multiple of 74490 and 74507