What is the Greatest Common Factor of 30445 and 30464?

Greatest common factor (GCF) of 30445 and 30464 is 1.

GCF(30445,30464) = 1

We will now calculate the prime factors of 30445 and 30464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30445 and 30464.

How to find the GCF of 30445 and 30464?

We will first find the prime factorization of 30445 and 30464. After we will calculate the factors of 30445 and 30464 and find the biggest common factor number .

Step-1: Prime Factorization of 30445

Prime factors of 30445 are 5, 6089. Prime factorization of 30445 in exponential form is:

30445 = 5¹ × 6089¹

Step-2: Prime Factorization of 30464

Prime factors of 30464 are 2, 7, 17. Prime factorization of 30464 in exponential form is:

30464 = 2⁸ × 7¹ × 17¹

Step-3: Factors of 30445

List of positive integer factors of 30445 that divides 30445 without a remainder.

1, 5, 6089

Step-4: Factors of 30464

List of positive integer factors of 30464 that divides 30445 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 256, 272, 448, 476, 544, 896, 952, 1088, 1792, 1904, 2176, 3808, 4352, 7616, 15232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30445 and 30464. The biggest common factor number is the GCF number.
So the greatest common factor 30445 and 30464 is 1.

Also check out the Least Common Multiple of 30445 and 30464