What is the Greatest Common Factor of 13470 and 13474?
Greatest common factor (GCF) of 13470 and 13474 is 2.
GCF(13470,13474) = 2
We will now calculate the prime factors of 13470 and 13474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13470 and 13474.
How to find the GCF of 13470 and 13474?
We will first find the prime factorization of 13470 and 13474. After we will calculate the factors of 13470 and 13474 and find the biggest common factor number .
Step-1: Prime Factorization of 13470
Prime factors of 13470 are 2, 3, 5, 449. Prime factorization of 13470 in exponential form is:
13470 = 21 × 31 × 51 × 4491
Step-2: Prime Factorization of 13474
Prime factors of 13474 are 2, 6737. Prime factorization of 13474 in exponential form is:
13474 = 21 × 67371
Step-3: Factors of 13470
List of positive integer factors of 13470 that divides 13470 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 449, 898, 1347, 2245, 2694, 4490, 6735
Step-4: Factors of 13474
List of positive integer factors of 13474 that divides 13470 without a remainder.
1, 2, 6737
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13470 and 13474. The biggest common factor number is the GCF number.
So the greatest common factor 13470 and 13474 is 2.
Also check out the Least Common Multiple of 13470 and 13474
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