What is the Greatest Common Factor of 484 and 490?
Greatest common factor (GCF) of 484 and 490 is 2.
GCF(484,490) = 2
We will now calculate the prime factors of 484 and 490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 484 and 490.
How to find the GCF of 484 and 490?
We will first find the prime factorization of 484 and 490. After we will calculate the factors of 484 and 490 and find the biggest common factor number .
Step-1: Prime Factorization of 484
Prime factors of 484 are 2, 11. Prime factorization of 484 in exponential form is:
484 = 22 × 112
Step-2: Prime Factorization of 490
Prime factors of 490 are 2, 5, 7. Prime factorization of 490 in exponential form is:
490 = 21 × 51 × 72
Step-3: Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242
Step-4: Factors of 490
List of positive integer factors of 490 that divides 484 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 484 and 490. The biggest common factor number is the GCF number.
So the greatest common factor 484 and 490 is 2.
Also check out the Least Common Multiple of 484 and 490
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Related Greatest Common Factors of 490
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