What is the Greatest Common Factor of 29490 and 29507?

Greatest common factor (GCF) of 29490 and 29507 is 1.

GCF(29490,29507) = 1

We will now calculate the prime factors of 29490 and 29507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29490 and 29507.

How to find the GCF of 29490 and 29507?

We will first find the prime factorization of 29490 and 29507. After we will calculate the factors of 29490 and 29507 and find the biggest common factor number .

Step-1: Prime Factorization of 29490

Prime factors of 29490 are 2, 3, 5, 983. Prime factorization of 29490 in exponential form is:

29490 = 2¹ × 3¹ × 5¹ × 983¹

Step-2: Prime Factorization of 29507

Prime factors of 29507 are 19, 1553. Prime factorization of 29507 in exponential form is:

29507 = 19¹ × 1553¹

Step-3: Factors of 29490

List of positive integer factors of 29490 that divides 29490 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 983, 1966, 2949, 4915, 5898, 9830, 14745

Step-4: Factors of 29507

List of positive integer factors of 29507 that divides 29490 without a remainder.

1, 19, 1553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29490 and 29507. The biggest common factor number is the GCF number.
So the greatest common factor 29490 and 29507 is 1.

Also check out the Least Common Multiple of 29490 and 29507